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Finding the Third Proportional to 54,681.94 and 78,195.38

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Solution

The third proportional to 54,681.94 and 78,195.38 is: 111,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681.94 : 78,195.38 = 78,195.38 : x
  2. Step 2: Convert to fraction form
    54,681.94/78,195.38 = 78,195.38/x
  3. Step 3: Cross multiply
    54,681.94x = 78,195.38 × 78,195.38
  4. Step 4: Simplify right side
    54,681.94x = 6,114,516,671.39
  5. Step 5: Solve for x
    x = 6,114,516,671.39/54,681.94
  6. Step 6: Final answer
    x = 111,819.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.